We recall that due to the degeneracy in the representation of the Carrollian Clifford algebra, we have a theory of two component spinors, resulting into the dynamics of a single degree of freedom. Moreover the components of the spinor \(\phi \)  are decoupled in (REF ), indicating the said representation to be reducible. Hence the minimalistic Carrollian fermion theory should have half degree of freedom See, eg. chapter seven of [1]}..
